Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. II.
Jentsch, Lothar, Natroshvili, David (1999)
Memoirs on Differential Equations and Mathematical Physics
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Jentsch, Lothar, Natroshvili, David (1999)
Memoirs on Differential Equations and Mathematical Physics
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Paul Goodey (2009)
Banach Center Publications
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We survey results concerning the extent to which information about a convex body's projections or sections determine that body. We will see that, if the body is known to be centrally symmetric, then it is determined by the size of its projections. However, without the symmetry condition, knowledge of the average shape of projections or sections often determines the body. Rather surprisingly, the dimension of the projections or sections plays a key role and exceptional cases do occur...
Craioveanu, Mircea, Marchiafava, Stefano, Puta, Mircea (1997)
General Mathematics
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Ghori, Q.K. (1975)
Portugaliae mathematica
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Katica Stevanović Hedrih (1998)
Zbornik Radova
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Jiří Jarušek (1983)
Czechoslovak Mathematical Journal
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Khomasuridze, I. (1999)
Bulletin of TICMI
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Whiteley, Jonathan P. (2005)
Journal of Theoretical Medicine
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Christoph Haberl (2012)
Journal of the European Mathematical Society
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All continuous Minkowski valuations which are compatible with the special linear group are completely classified. One consequence of these classifications is a new characterization of the projection body operator.
Fradelizi, Matthieu (1999)
Beiträge zur Algebra und Geometrie
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